8048892844800 has 432 divisors, whose sum is σ = 31067876112000. Its totient is φ = 2033403678720.

The previous prime is 8048892844771. The next prime is 8048892844877. The reversal of 8048892844800 is 84482988408.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057431 + ... + 4508969.

Almost surely, 2^{8048892844800} is an apocalyptic number.

8048892844800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8048892844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533938056000).

8048892844800 is an abundant number, since it is smaller than the sum of its proper divisors (23018983267200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8048892844800 is a wasteful number, since it uses less digits than its factorization.

8048892844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451593 (or 2451568 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 8048892844800 in words is "eight trillion, forty-eight billion, eight hundred ninety-two million, eight hundred forty-four thousand, eight hundred".